I need the shapefile of the map attached (or very very similar) - but I can't find. I attached it here. Somewhere I found a picture where it is named "Terrestrial Major Habitat Types".
No idea on the source of the map so, can only help so much. I am only answering here because I can clarify a spatial-attribute aspect of the data and aim you towards the correct dataset. The MHT's (Major Habitat Types) are an attribute in the Terrestrial Ecoregions dataset.
Check this database, maybe it works for you: http://www.fao.org/land-water/land/land-governance/land-resources-planning-toolbox/category/details/en/c/1036295/